26712556160 has 128 divisors (see below), whose sum is σ = 67529548800. Its totient is φ = 10087833600.

The previous prime is 26712556159. The next prime is 26712556163. The reversal of 26712556160 is 6165521762.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (26712556163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797021 + ... + 829859.

It is an arithmetic number, because the mean of its divisors is an integer number (527574600).

Almost surely, 2^26712556160 is an apocalyptic number.

26712556160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26712556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33764774400).

26712556160 is an abundant number, since it is smaller than the sum of its proper divisors (40816992640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26712556160 is a wasteful number, since it uses less digits than its factorization.

26712556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32930 (or 32918 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 26712556160 in words is "twenty-six billion, seven hundred twelve million, five hundred fifty-six thousand, one hundred sixty".